Search a number
-
+
129930542100 = 22335248122423
BaseRepresentation
bin111100100000001110…
…1101011110000010100
3110102101002020102022000
41321000131223300110
54112044204321400
6135404514235300
712246541246122
oct1710035536024
9412332212260
10129930542100
1150115449407
1221221585b30
13c338695998
146408188912
1535a6be3600
hex1e4076bc14

129930542100 has 72 divisors (see below), whose sum is σ = 417702640320. Its totient is φ = 34648143840.

The previous prime is 129930541997. The next prime is 129930542117. The reversal of 129930542100 is 1245039921.

129930542100 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 3 + 0 + 542 + 100 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24058512 + ... + 24063911.

It is an arithmetic number, because the mean of its divisors is an integer number (5801425560).

Almost surely, 2129930542100 is an apocalyptic number.

129930542100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129930542100 is an abundant number, since it is smaller than the sum of its proper divisors (287772098220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

129930542100 is a wasteful number, since it uses less digits than its factorization.

129930542100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48122446 (or 48122433 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 129930542100 in words is "one hundred twenty-nine billion, nine hundred thirty million, five hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 48122423 96244846 144367269 192489692 240612115 288734538 433101807 481224230 577469076 721836345 866203614 962448460 1203060575 1299305421 1443672690 1732407228 2165509035 2406121150 2598610842 2887345380 3609181725 4331018070 4812242300 5197221684 6496527105 7218363450 8662036140 10827545175 12993054210 14436726900 21655090350 25986108420 32482635525 43310180700 64965271050 129930542100